BACKGROUND OF THE INVENTION
Field of the Invention
[0001] The invention relates generally to the field of measuring the registration of overlaid
patterns by the use of electromagnetic radiation and, more particularly, to using
the radiation reflected from different portions of overlaid patterns to measure any
error in the registration of the overlaid patterns.
Description of the Prior Art
[0002] There have been proposed in the prior art many techniques for optically measuring
the registration or alignment of two planar surfaces, each as a photomask and a semiconductor
wafer.
[0003] For example, Kleinknecht et al in U.S. Patent No. 4,211,489 have disclosed an automatic
photomask alignment system in which a monochromatic light beam is directed through
a key on a photomask onto a diffraction grating on a semiconductor substrate to produce
a pattern of light spots whose intensities at various locations are determined by
the relative alignment of the photomask and substrate.
[0004] Fay et al in U.S. Patent No. 4,311,389 have disclosed a method of aligning a mask
plane with a pattern plane. Linear Fresnel zones are inscribed on the mask plane,
and a reflecting grating is inscribed on the pattern plane. A monochromatic light
beam is directed through the Fresnel zones into the reflecting grating such that the
intensity of the reflected light is an indication of the alignment of the two planes.
[0005] Wang et al in U.S. Patent No. 4,327,292 have disclosed an alignment process in which
a focused laser beam is directed onto alignment marks on first and second surfaces
to be aligned. The reflected beams are detected to form respective first and second
serial signals which are compared in phase with a reference signal to produce respective
error signals indicative of the misalignment of the two surfaces.
[0006] Westell in U.S. Patent No. 3,867,038 has disclosed a system for optically aligning
two objects by matching images of fixed reticles on the objects to a rotating reticle
by convolution of the fixed reticle images with the rotating reticle.
[0007] Other registration and alignment measuring techniques are disclosed in U.S. Patent
Nos. 3,488,106; 3,531,196; 3,660,157 and 4,009,453; and in the following IBM Technical
Disclosure Bulletins; Vol. 16, No. 1, June 1973, page 16; Vol. 18, No. 4, September
1975, pages 1110-1112; Vol. 19, No. 4, September 1976, pages 1224; Vol. 19, No. 4,
September 1976, pages 1459; Vol. 22, No. 3, August 1979, pages 1054-1055; Vol. 22,
No. 10, March 1980, pages 4440-4441; Vol. 22, No. 12, May 1980, pages 5475; Vol. 23,
No. 4, September 1980, page 1366; and Vol. 23, No. 7A, December 1980, pages 2996-2998.
SUMMARY OF THE INVENTION
[0008] Two patterns are superimposed or overlaid upon each other on a substrate. The overlaid
patterns, together with a substrate, form a target pattern consisting of four distinct
regions whose respective reflectivities are determined by the combination of layers
formed by the substrate and the overlaid patterns and by the respective materials
in the substrate and patterns. The four regions or combinations of layers from which
radiation may be reflected are: the substrate alone; the substrate overlaid by the
first pattern; the substrate overlaid by the second pattern; and the substrate overlaid
by both the first and second patterns.
[0009] Each pattern consists of a geometrical configuration formed of a material unique
to that pattern. The average reflectivity for perfect registration of two test patterns
can be mathematically defined in terms of the reflectivities of the four individual
regions. The average reflectivity of the two patterns when they are not in perfect
registration can also be mathematically determined. Thus, by measuring the average
reflectivity of the overlaid patterns, one can readily deduce the degree to which
they are in registration, thereby providing a quantitative measure for pattern overlay.
[0010] In accordance with the preferred emobdiment of the invention, four reference zones
or macro-zones are formed adjacent each test pattern, with each macro-zone consisting
of only the layer or layers of a different one of the four regions. Each macro-zone
is exposed to a broad spectrum light source, such as a incandescent lamp, or to another
source of electromagnetic radiation, such as infrared, ultraviolet or x-ray, and the
intensity of the radiation reflected from each of the four macro-zones is measured.
Then, the intensity of the radiation reflected from the target pattern is also measured.
One then can easily calculate the amount of overlay or registration error in both
the vertical and horizontal directions.
BRIEF DESCRIPTION OF THE DRAWINGS
[0011]
Figure 1 is a schematic block diagram of a basic apparatus for carrying out the method
of this invention.
Figure 2 illustrates one of the two identical patterns used in a preferred embodiment
of the invention.
Figure 3 illustrates a target pattern formed by two overlaid patterns in perfect registration.
Figure 3A is a cross-sectional view taken along line 3A-3A in Figure 3.
Figure 4 illustrates a target pattern formed by two overlaid patterns which are not
in perfect registration.
Figure 4A is a cross-sectional view taken along line 4A-4A in Figure 4.
Figure 5 illustrates a complete test pattern including the four macro-zones.
Figure 6 schematically illustrates the manner in which one measures the intensity
of the light reflected from the four individual phase grid structures and from the
four macro-zones.
Figure 7 illustrates circular patterns used in another embodiment of the invention.
Figures 8-10 illustrate a vidicon-based method of overlay measurement; and Figures
11-13 illustrate the vernier method of overlay measurement.
DETAILED DESCRIPTION OF THE PREFERRED EMBODIMENT
[0012] Figure 1 shows the elements of a basic apparatus for practicing the method of this
invention. The apparatus includes a microscope 10 of standard configuration, a photometer
12 for detecting light intensity, and a sample 14 mounted on a table 16 capable of
translational movement in the x and y directions. Upon this sample are imprinted two
overlaid identical patterns which are nominally in perfect registration. Figure 2
illustrates one test pattern 30 and Figures 3 and 3A illustrate a target pattern 40
formed by two of the test patterns in perfect registration.
[0013] In the preferred embodiment, each test pattern 30 consists of two horizontal phase
grid structures 32 and 34 and two vertical phase grid structures 36 and 38. Each phase
grid structure consists of spaced lines of the same material, and the periodicity
of the lines is the same for all the structures. The lines of a test pattern are all
made from the same material. For example, assuming the patterns are formed on a silicon
substrate A, the lines of the upper test pattern may be made of photoresist material,
and the lines of the lower test pattern of SiO₂. The materials of the patterns and
substrate are thin enough so that they both partially transmit and also partially
reflect light incident thereupon from a broad spectrum light source, such as incandescent
lamp, or, depending upon the materials used, from a source of infrared, ultraviolet
or x-ray radiation.
[0014] Figures 3 and 3A illustrate the condition in which two test patterns 30 are overlaid
upon each other on a silicon substrate A. The SiO₂ lines of the lower test pattern
are designated by the letter B, and the photoresist lines of the upper test pattern
are designated by the letter C. For the perfect registration condition illustrated
in Figure 3, the target pattern 40 consists of four distinct regions consisting of
different layers from which the incident light is reflected. If the substrate is designated
as A, and the first and second layers as B and C, then the four reflecting regions
are A, AB, AC, and ABC. Each region has a unique broad band reflectivity, depending
on the particular combination of layers in the region. More specifically, the average
reflectivity in each of the four quadrants 42, 44, 46 and 48 of the perfectly registered
target position 40 of Figure 3 is given by
R₁ = 1/4 R
A + 1/4 R
AB + 1/4 R
AC + 1/4 R
ABC (1)
[0015] However, if the two test patterns are not in perfect registration, the average reflectivity
will change; more specifically, the coefficients, 1/4, given above for perfect registration
will vary depending upon the proportion of exposure of each of the particular regions
A, AB, AC, and ABC. Figure 4 illustrates an example of imperfect registration wherein,
as an example, the two patterns are shifted both horizontally and vertically a distance
of 1/2 a linewidth relative to each other. In this example, then, the average observed
reflectivity will be
R₂ = 1/8 R
A + 3/4 R
AB + 1/8 R
AC + 3/8 R
ABC (2)
[0016] In general, R₂ is different from R₁, and the difference is proportional to the degree
of misregistration illustrated in Figure 4. Thus, it has been mathematically shown
that, by measuring the average reflectivity of the overlaid test patterns, one can
readily determine the degree to which the patterns are in registration, thereby providing
a quantitative measure for pattern overlay or registration. One constraint is that
the reflectivity of region A does not equal that of region ABC, and that the reflectivity
of region AB does not equal that of region AC.
[0017] For the practice of this invention, it is necessary to know the individual reflectivities
R
A, R
ABC, etc. Since it is generally not practical to assume or calculate the values of these
individual reflectivities, in accordance with this invention they are determined by
actual measurements in four marco-zones 60, 62, 64 and 66 as illustrated in Figure
5, which shows a complete test pattern including the four macro-zones. First, the
individual reflectivities of the four macro-zones are measured. This measurement can
be accomplished in a single step by using a light detector divided into four zones
70, 72, 74 and 76, each of which is appropriately positioned for measuring the intensity
I of the light reflected from a different one of the macro-zones. Next, the reflectivities
of the four quadrants of the target pattern are individually determined in a similar
manner with each of the four detector zones examining a different one of the phase-grid
structures. More specifically, denoting the horizontal phase grids 32 and 34 by the
subscript h, and using only numeric subscripts for the four macro-zones, the horizontal
overlay error can be found from the formula

where X is the periodicity of the line/space pattern in nanometers, for example;
I is the reflected light intensity in watts per square centimeter, for example; and
Δ
h is the horizontal mis-registration in nanometers. The corresponding equation can
be written for the vertical overlay error or mis-registration. (The average reflectivity
R in the two earlier equations is actually a ratio of reflected energy and incident
energy.) Since one half of the period multiplied by the length of a line equals the
area of the line, X/2 in the above equation can be replaced by line area/line length;
thus, the periodicity need not be known.
[0018] As shown by the above equations for R₁ and R₂, the offset or differential spacing
of the two test patterns relative to each other for perfect registration produces
a doubling effect in positional difference where the two test patterns are offset
or mis-registered, thus doubling the detected reflection signals corresponding to
the four respective regions. Furthermore, the phase-grid test pattern of this invention
is self-calibrating: Variations in the reflectivities of the individual regions, due
to processing or other factors are automatically accounted for in the results. Furthermore,
it can be shown that the registration measurement is insensitive to pattern linewidths,
sidewall slopes, and other factors which reduce the effectiveness of prior art means
of overlay measurement. Of course, measuring overlay error by the phase-grid method
of this invention clearly applies to measurement of overlay between resist images
and underlying resist or etched images. Furthermore, this method can also be applied
to mask images over resist or etched images, thereby making it useful in such applications
as mask-wafer alignment and mask characterization.
[0019] Since the materials forming the four regions are both light-transmissive and light-reflective,
it is clear that light transmissivities could be used in the above equations with
the corresponding constraint, in which case one would measure the corresponding transmitted
light intensities rather than reflected light intensities.
[0020] Instead of lines or stripes, the patterns can be formed of areas of almost any geometrical
configuration. For example, Figure 7 illustrates the use of patterns in the form of
circular areas which, when overlaid upon each other on a substrate A, form the four
radiation-reflecting or radiation-transmitting regions A, AB, AC and ABC. In equation
(3), one would merely replace X/2 with circle area/circle diameter. In other words,
the configuration of each pattern is quite irrelevant so long as the four regions
are formed.
[0021] The size of the macro-zones is not critical so long as they are larger than the aperture
of the photodetector, which aperture must be larger than the composite pattern whose
average reflected or transmitted light intensity is to be measured. In other words,
for the circle example, these circles are individually quite small, and each, by definition,
would have to be smaller than the aperture of the photodetector.
[0022] The circles could be squares or any other configuration. If the diameters of the
circles, for example, are not the same, then their areas must be known, and this knowledge
is obtained by making the corresponding macro-zones exactly equal to the two circles,
respectively (in which case, of course, the photodetector aperture would automatically
be larger than either of the two circles.
[0023] While in the preferred embodiment described above, four grid areas are used, in the
ideal cause only one x grid and one y grid are required:
I
r = I
o . (r₁f₁ + r₂f₂ + r₃f₃ + r₄f₄) (4)
where
I
r = the intensity of the reflected intensity,
I
o = the reflectivity of the incident radiation,
r
i = reflectivity of the structure i, and
f
i = fraction of the sample area consisting of material i.
The problem is that f
i may not be known (for example, there may be resist lines of different line/space
ratios), that slopes consume a certain fraction of the total, and that similar non-ideal
occurrences may exist.
[0024] With two horizontal grids, however, these non-ideal circumstances are almost totally
canceled out (as seen in equation 3), and the same holds true for two vertical grids.
The result is that measurement data is free from "noise" due to such effects to a
much greater extent than such alternate methods as:

In order to get these advantages, the pair of horizontal test sites must be left-to-right
mirror images, and, similarly, there must be vertical mirror symmetry on two vertical
test sites.
[0025] For images of arbitrary shape in either the horizontal or vertical direction:

where ΔA
i is the change in area i due to a displacement of the upper image with respect to
the lower image.
[0026] For completely arbitrary shapes, one needs to calculate ΔA
i as a function of horizontal displacement. For a shape which is arbitrary, but identical
for all four structures involved, one needs to do this calculation only once. The
simplest case involves the case of rectangular areas, as in the phase grids described
above, where ΔA
i = ± x = linear displacement = same for all four structures.
[0027] For a given set of materials, thicknesses, etc., the measurement effectiveness will
depend on the illumination used. Broad-band illumination is preferred in order to
accommodate as many different materials/structures as possible without requiring fine
tuning and customization on a case-by-case basis. Infrared is most useful for materials
like polysilicon, where visible or below would be strongly absorbed (i.e., the material
would be opaque to the radiation).
[0028] Another piece of information that comes from the macrozones is a "resolution" figure
which identifies the sensitivity of the method for given structure and illumination
conditions.
[0029] Figures 8A, 8B, 9, 10A and 10B illustrate the overlay measurement using a vidicon-based
measurement tool. Figures 8A and 8B illustrate a test structure wherein the layer
B is superinposed on the layer A. Figure 9 is a schematic diagram illustrating the
measuring system wherein a video camera and microscope unit scan a sample and provide
corresponding electrical signal inputs to a video monitor and to a threshold detector.
Figures 10A and 10B show the relationship between the voltage waveform of the threshold
detector and the relevant distances on the test structure.
[0030] The values Δt₁, Δt₂, Δt₃ are supposed to be proportional to d₁, d₂, d₃; thus, one
can deduce appropriate values for d₁, d₂, d₃ from the voltage waveform timing.
[0031] Ideally, image B is centered on image A, in which case d₁ = d₃ (i.e. Δt₁ = Δt₃) for
a zero overlay error. If d₁ is not equal to d₃, then B must not be centered; the degree
of overlay errors is given by

with the sign indicating left or right shift of B with respect to A.
[0032] In practice, various idealities break down, and the set of data

is not equal to the set of true overlay values, and this condition is reflected in
a noise figure:

where
M
i = measured value of i
th location,
A
i = actual value at i
th location,
n = number of sites measured.
[0033] Figures 11-13 illustrate the vernier method of overlay measurement where Pattern
A represents fingers of a known periodicity as shown in Fig. 11, and Pattern B represents
fingers of a different known periodicity where p₂ > p₁. Figure 13 illustrates a combination
of Patterns A and B.
[0034] The relative lateral or horizontal positions of Patterns A and B can be estimated
by visually observing which fingers are aligned, and the same estimation can be done
for relative positions on a separate target.
[0035] Using the above RMS noise formula, one can "sort" among various meansurement techniques
to determine which have better noise performance. PG (phase grid) typically shows
the lowest noise figure, usually around 100nm or so. The vidicon-based method usually
produces a noise around 150 nm. The vernier method is highly desirable, but usually
is at least as noisy as the vidicon-based method. Of all opitcal methods tested, the
PG method consistly has the lower noise figure, measning that PG data is "truer".
1. A method of measuring the error in registration of two overlaid patterns (30)
on a substrate, comprising the steps of:
choosing the materials of the two patterns and of the substrate so that they
both partially transmit and partially reflect incident electromagnetic radiation;
designating the material of the substrate as A, and the materials of the two
patterns as B and C, respectively, whereby the two overlaid patterns and the substrate
form a target pattern having four regions consisting of four material layers A, AB,
AC and ABC, respectively;
exposing said target pattern to incident electromagnetic radiation;
measuring the intensity of the corresponding radiation reflected or transmitted
by the four regions; and
comparing the measured intensity with the intensities of radiation reflected
or transmitted, respectively, by four reference zones, each consisting of a different
one of said four material layers, respectively, to obtain a measurement of the mis-registration
of the overlaid patterns.
2. A method as defined in Claim 1, further comprising:
forming said reference zones on the substrate;
simultaneously exposing said target pattern and said four reference zones to
said radiation; and
measuring said intensities of the radiation reflected or transmitted by said
reference zones.
3. A method as defined in Claim 1 or 2, further comprising the step of choosing said
three materials such that neither the reflectivity nor the transmissivity of region
A equals that of region ABC, and such that neither the reflectivity nor the transmissivity
of region AB equals that of region AC.
4. A method as defined in one of the Claims 1-3, wherein said patterns and said reference
zones are of the same geometrical configuration.
5. A method as defined in one of the Claims 1-3, wherein each pattern comprises a
plurality of spaced horizontal parallel lines and a plurality of spaced vertical parallel
lines, the line/spaced periodicity being the same for all of said lines.
6. A method as defined in Claim 5, wherein each pattern is in the form of a grid with
the horizontal lines in the first and third quadrants and the vertical lines in the
second and fourth quadrants.
7. A method as defined in Claim 3, wherein said patterns are circular areas.
8. A method as defined in Claim 7, wherein said reference zones are circular areas.
9. A method as defined in Claim 1, wherein each pattern consists of a grid of four
quadrants, and further comprising individually measuring the intensities from the
first and third quadrants and comparing them with the intensities from the four reference
zones to obtain a measurement of the mis-registration in only one of the horizontal
and vertical directions.
10. A method as defined in Claim 9, further comprising individually measuring the
intensities from the second and fourth quadrants and comparing them with the intensities
from the four reference zones to obtain a measurement of the mis-registration in only
the other of the horizontal and vertical directions.
11. A method as defined in one of the Claims 1-10, wherein the substrate is a silicon
wafer, material A is silicon dioxide, and material C is a photoresist.